ANALYSIS OF CONICS UNDER KANTOROVICH OPERATORS OF TWO VARIABLE

Year 2025, Volume: 7 Issue: 2, 47 - 62, 30.10.2025

Esraa Dakak Elkahwa Tuncay Tunç

https://doi.org/10.47087/mjm.1696453

Abstract

This study examines some shape-preserving properties of two-variable Kantorovich polynomials. We examine which types of conic equations transform into conic equations under two types of two-variable Kantorovich polynomials, single-index and double-index, and if so, which conic equations they transform into. While it is observed that conic equations transform into
the same type of conic equations under the single-index two-variable Kantorovich polynomial, they are shown to transform into different types under the double-index two-variable Kantorovich polynomial, for example, a circle can transform into an ellipse or parabola under certain conditions. Furthermore, all the  findings are supported by numerous graphical examples.

Keywords

Conic Equations , Positive and Linear Operator , Shape Preserving Approximation , Kantorovich Polynomials

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